331231242132133 has 32 divisors (see below), whose sum is σ = 398949505597440. Its totient is φ = 268859560833600.

The previous prime is 331231242132097. The next prime is 331231242132173.

331231242132133 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-331231242132133 is a prime.

It is a super-2 number, since 2×331231242132133² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331231242132173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218556948 + ... + 220067266.

It is an arithmetic number, because the mean of its divisors is an integer number (12467172049920).

Almost surely, 2^{331231242132133} is an apocalyptic number.

It is an amenable number.

331231242132133 is a deficient number, since it is larger than the sum of its proper divisors (67718263465307).

331231242132133 is a wasteful number, since it uses less digits than its factorization.

331231242132133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523937.

The product of its digits is 46656, while the sum is 34.

The spelling of 331231242132133 in words is "three hundred thirty-one trillion, two hundred thirty-one billion, two hundred forty-two million, one hundred thirty-two thousand, one hundred thirty-three".